Q: What are the prime factors of the number 56,144,464?

 A: 2, 29, 121001

Why are those the prime factors of the number 56,144,464?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 56,144,464

56,144,464
Factor Arrows
228,072,232
Factor Arrows
214,036,116
Factor Arrows
27,018,058
Factor Arrows
23,509,029
Factor Arrows
29121,001

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 29, 121001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 29 x 121,001 = 56,144,464

This can also be written as 24 x 291 x 121,0011 = 56,144,464

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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